73527745600 has 63 divisors (see below), whose sum is σ = 180950901877. Its totient is φ = 29406759680.

The previous prime is 73527745589. The next prime is 73527745607. The reversal of 73527745600 is 654772537.

It is a happy number.

The square root of 73527745600 is 271160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26469988416 + 47057757184 = 162696^2 + 216928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73527745607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10843011 + ... + 10849789.

Almost surely, 2^73527745600 is an apocalyptic number.

73527745600 is the 271160-th square number.

It is an amenable number.

73527745600 is an abundant number, since it is smaller than the sum of its proper divisors (107423156277).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73527745600 is an frugal number, since it uses more digits than its factorization.

73527745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13580 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 46.

The spelling of 73527745600 in words is "seventy-three billion, five hundred twenty-seven million, seven hundred forty-five thousand, six hundred".